2288816460 has 144 divisors (see below), whose sum is σ = 8283431520. Its totient is φ = 523152000.

The previous prime is 2288816447. The next prime is 2288816461. The reversal of 2288816460 is 646188822.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (2288816461) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16791 + ... + 69710.

It is an arithmetic number, because the mean of its divisors is an integer number (57523830).

Almost surely, 2^2288816460 is an apocalyptic number.

2288816460 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2288816460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4141715760).

2288816460 is an abundant number, since it is smaller than the sum of its proper divisors (5994615060).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2288816460 is a wasteful number, since it uses less digits than its factorization.

2288816460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86533 (or 86518 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The square root of 2288816460 is about 47841.5766880650. The cubic root of 2288816460 is about 1317.8631749910.

The spelling of 2288816460 in words is "two billion, two hundred eighty-eight million, eight hundred sixteen thousand, four hundred sixty".